Solve the following questions:  Find the mean, mod, median, and standard deviation of the following data. And  Based on these results, check whether the value of 10 is usual? 5, 6, 7, 8, 9,8,7,8                         _______________________________________________________ 2. Pre-Employment Drug Screening Results are shown in the following Table: Positive Test Result Negative Test Result Subject Uses Drugs  8 (True Positive) 2 (False Negative) Subject is not a Drug User 10 (False Positive) 180 (True Negative) If  1 of the 200 test subjects is randomly selected, find the probability that the subject had a positive test result, given that the subject actually uses drugs. That is, find (positive test result ? subject uses drugs). If 1 of the 200 test subjects is randomly selected, find the probability that the subject actually uses drugs, given that he or she had a positive test result. That is, find ( subject uses drugs  ?  positive test result  ).       ___________________________________________________ 3. This is observation from previous years about the impact of students working while they are enrolled in classes, due to students too much work, they are spending less time on their classes. First, the observer need to find out, on average, how many hours a week students are working. They know from previous studies that the standard deviation of this variable is about 5 hours. A survey of 200 students provides a sample mean of 7.10 hours worked. What is a 95% confidence interval based on this sample?

Rest of the problems are in the attached file. I also attached book.1.(the Exchange Paradox) You’re playing the following game against an opponent, with a referee also taking part. The referee has two envelopes (numbered 1 and 2 for the sake of this problem, but when the game is played the envelopes have no markings on them), and (without you or your opponent seeing what she does) she puts $m in envelope 1 and $2 m in envelope 2 for some m > 0 (treat m as continuous in this problem even though in practice it would have to be rounded to the nearest dollar or penny). You and your opponent each get one of the envelopes at random. You open your envelope secretly and find $x (your opponent also looks secretly in his envelope), and the referee then asks you if you want to trade envelopes with your opponent. You reason that if you trade, you will get either $ x 2 or $2 x, each with probability 1 2 . This makes the expected value of the amount of money you’ll get if you trade equal to 1 2 $x 2 + 1 2 ($2 x) = $5x 4 , which is greater than the $x you currently have, so you o↵er to trade. The paradox is that your opponent is capable of making exactly the same calculation. How can the trade be advantageous for both of you?